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Finding the Third Proportional to 375,531 and 566,490

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Solution

The third proportional to 375,531 and 566,490 is: 854,552.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,531 : 566,490 = 566,490 : x
  2. Step 2: Convert to fraction form
    375,531/566,490 = 566,490/x
  3. Step 3: Cross multiply
    375,531x = 566,490 × 566,490
  4. Step 4: Simplify right side
    375,531x = 320,910,920,100
  5. Step 5: Solve for x
    x = 320,910,920,100/375,531
  6. Step 6: Final answer
    x = 854,552.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.